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Inverse Trig

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unknown id:
Got stuck on this question. Any help would be appreciated:

Prove that

Mao:
maybe try taking cos on both sides then expanding the RHS with compound angle formula??? :P

unknown id:
i could have done that but i didn't want to touch the right-hand side when proving

Mao:
why not?









QED :D

you can also use the symmetry of cos:





we also know that







QED

i think this would be your preferred method? :P

unknown id:
i thought that whenever we have to prove that the left side equals the right side, only the left side should be used in our calculations

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